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Finding the Fourth Proportional to 147,524.70, 221,373.45 and 54,039.90

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Solution

The fourth proportional to 147,524.70, 221,373.45 and 54,039.90 is: 81,091.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,524.70 : 221,373.45 = 54,039.90 : x
  2. Step 2: Convert to fraction form
    147,524.70/221,373.45 = 54,039.90/x
  3. Step 3: Cross multiply
    147,524.70x = 221,373.45 × 54,039.90
  4. Step 4: Simplify right side
    147,524.70x = 11,962,999,100.66
  5. Step 5: Solve for x
    x = 11,962,999,100.66/147,524.70
  6. Step 6: Final answer
    x = 81,091.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.